Results of generalized equilibrium path from form-finding of tensegrity structure

Generalized form-finding procedure for truncated polyhedral tensegrities is presented by using force density method combined with a genetic algorithm. A constrained minimization problem consisting of eigenvalues of the force density matrix and the standard deviation of the force densities of the cables is performed. Multiple force density curves are obtained and compared with those of previous investigations for truncated tetrahedral, truncated dodecahedral, and truncated icosahedral tensegrities in terms geometry, energy and total length ratio of cable-to-strut. Various new shapes of tensegrities are obtained from present analysis by searching feasible self-equilibrium stable configuration of the structures.